A cyclist travels at a og+,h0zxjd0.nt ym(*,r hbtt constant speed of $22.0 \mathrm{~km} / \mathrm{hr}$ except for a 20 minute stop. The cyclists average speed was $17.5 \mathrm{~km} / \mathrm{hr}$. How far did the cyclist travel?

  Rank the magnitudes of 6mm*axbo7 /w oa3;gaf the average acceleration during the ten second interval.

  Rank the magnitudes of the maximum velocity r4)ajne d(:d jxvg-j2 achieved during the ten second intervanj-() vgjdjr ad2 4xe:l.

  Rank the magnitudes of the distance traveled during th .z n2:hsaxl 1*m9hgtqe ten second interval.

  A crude approximation is that the Earth travels in a circularwj2e7xa ekv 2- orbit about the Sun at constant speed, at a disvw j2xa-ek2e 7tance of $150,000,000 \mathrm{~km}$ from the Sun. Which of the following is the closest for the acceleration of the Earth in this orbit?

  A child is sliding out of control wuno5qb8r w 5i4g uy; :kwa5:rhsc9 9hkith velocity $v_{\mathrm{c}}$ across a frozen lake. He runs head-on into another child, initially at rest, with 3 times the mass of the first child, who holds on so that the two now slide together. What is the velocity of the couple after the collision?

  An ice skater can rotate abo9/jj,l9*or cjnh xiyxsp9;p1ut a vertical axis with an angular velocity $\omega_{0}$ by holding her arms straight out. She can then pull in her arms close to her body so that her angular velocity changes to $2 \omega_{0}$, without the application of any external torque. What is the ratio of her final rotational kinetic energy to her initial rotational kinetic energy?

  When a block of wood with a weightg+yt horp+q ) qyd/bil,y8 2u7 of $30 \mathrm{~N}$ is completely submerged under water the buoyant force on the block of wood from the water is $50 \mathrm{~N}$. When the block is released it floats at the
surface. What fraction of the block will then be visible above the surface of the water when the block is floating?

  A spring has an equilibrium length vxfe:sbo 3o ;ju1u,3gof 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end b:f;su3gxoj1v, 3o ueof the spring with a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of 3.0 newtons, in the opposite direction. What is the resulting length of the spring?

  Which of the following changes will result in an iji762ar x5: m-tcuxx+s-z w)ioupe y0fn1fm-ncrease in the period of a simpleoi-nu+ apw5ej2i1-7f:0f zus6m-r x yx)txcm pendulum?

  A large metal cylindriw7bg* v7z- zgaacn.mb 9;4hr kcal cup floats in a rectangular tub half-filled with water. The tap is placed over the cup and turnedgza7br 9kwa 4vch7g*; .n-zmb on, releasing water at a constant rate. Eventually the cup sinks to the bottom and is completely submerged. Which of the following five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identical heavy balls and lightweight ro nahl0ug0o d7d,af-f .ds. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the co , f0 daodl-gh.una0f7mpressive force in the rod is $F$. Next, three balls and three rods are placed at the vertexes and edges of an equilateral triangle (as is shown on the right). What is the compressive force in each rod in the latter case?

  The apparatus in the diagram consists of a soix 5m uvu6;,yulid cylinder of radius $1 \mathrm{~cm}$ attached at the center to two disks of radius $2 \mathrm{~cm}$. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle $\theta=90^{\circ}$ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of $\theta$ for which it will not roll to the right when pulling on the thread?

  You have 5 different strings with wei2cap m; nwbpnz8rev9u*.1 69.tqm bzdghts tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights to fall. Which one will crean b9b.pv2mw azrctm .qze*8;1u9np 6dte a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring owrr/(r8 q.h) jgur jr7wss.d 8scillator is displaced $2.0 \mathrm{~cm}$ from equilibrium. The $100 \mathrm{~g}$ mass passes through the equilibrium point with a speed of $0.75 \mathrm{~m} / \mathrm{s}$. What is the spring constant of the spring?

  What magnitude force does Jonathan need to exert on the physo y -*:5ancqzyf u4; ;jevf7xpolz/5wics book to keep the rojy uwx-7:4;q5*affep y zol/no;5 v czpe from slipping?

  Jonathan applies a normal force that is just enoufwq,s8bu 4x+;8g v glugh to keep the rope from slipping. Becky makes a small jump, barely leaving contact with the floor of the box. Upon landing on the box, the force of the impact causes the rope to start slippingu gqb 4f8ugvls;+8,xw from Jonathans hand. At what speed does the box smash into the ground? Assume Jonathans normal force does not change.

  A block of mass $m=3.0 \mathrm{~kg}$ slides down one ramp, and then up a second ramp. The coefficient of kinetic friction between the block and each ramp is $\mu_{\mathrm{k}}=0.40$. The block begins at a height $\mathrm{h}_{1}=1.0 \mathrm{~m}$ above the horizontal. Both ramps are at a $30^{\circ}$ incline above the horizontal. To what height above the horizontal does the block rise on the second ramp?

  After how much time will the pa3dh jf u1 jc:ykpxz(kea0p8he4/ *fx (rticle first return to the origin?

  What is the maximum distance between the particle and the origi9nkte h 0mo8m9n?

  An engineer is given a fixed 0 b. amutun x3h)lh5t0volume $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?

  This graph depicts the torque output of a2ccjd 2y p,in9 hypothetical gasoline engine as a function of rotation frequency. The engine is incapable29 jdy,2p ccni of running outside of the graphed range.


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the surface of a uniform, stauy qa(zr )6,o *pudoz4tionary spherical planet at an angle to the vertical. The particle travels in the absence of air resistance and eventually falls back onto the planet. Spaceman Fred describes the path of the particle as a parabola using the laws of projectile motion. Spacewoman Kate recalls from K ()6yzpur,d4 uoa qo*zeplers laws that every bound orbit
around a point mass is an ellipse (or circle), and that the gravitation due to a uniform sphere is identical to that of a point mass. Which of the following best explains the discrepancy?

  A turntable is supported on a Tef;uvp k857 se4hlm3gcfn*s x q2lon ring of inner radius $R$ and outer radius $R+\sigma(\sigma << R)$, as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing $\sigma$ ), or increasing the radius (increasing $R$ ). What are the effects of these proposed changes?

  A hollow cylinder with a very thin wall (lfxjbdds u7971 ike a toilet paper tube) and a block are placed at rest at the top of a fd71xsbdu9 j7 plane with inclination $\theta$ above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. What is the coefficient of kinetic friction between the block and the plane?